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Leni [432]
3 years ago
15

Tom's red bicycle travels 50 ft for every 3 pedal turns. How many pedal turns are needed to travel a mile (5,280 ft) ?

Mathematics
1 answer:
Lynna [10]3 years ago
6 0

Answer:

105.6. He will have to turn the pedals 105(.6) times.

Step-by-step explanation:

50ft/5,280ft = 105.6

3/13/2019

 Have a great day! :D

-wfz

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
Multiply or divide to find two equivalent fractions of 1/2
patriot [66]

Answer:

3/6 and 5/10

Explanation:

Given the fraction 1/2:

(a)Multiply the numerator and denominator by 3

\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}

An equivalent fraction is 3/6.

(b)Multiply the numerator and denominator by 5:

\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}

An equivalent fraction is 5/10.

4 0
1 year ago
Read 2 more answers
you can speed from 0 to 25 m/s in 25 seconds and your friend can speed up from 0 to 6 m/s in 6 seconds. who is faster
aksik [14]

Answer:

Neither; see below

Step-by-step explanation:

Your acceleration: a=\frac{\Delta v}{\Delta t}=\frac{25-0}{25}=1m/s^2

Your friend's acceleration: a=\frac{\Delta v}{\Delta t}=\frac{6-0}{6}=1m/s^2

Therefore, since both you and your friend accelerate at the same rate, neither is faster.

7 0
2 years ago
What is the area of Vivian’s garage door?
sergey [27]

The area  of Vivian’s garage door is 62.5 square feet

<h3>Area of composite shape.</h3>

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: brainly.com/question/8370446

#SPJ1

3 0
2 years ago
Five less than the product of 7 and a number is equal to 3.
mr Goodwill [35]

Answer:

x = 8/7

Step-by-step explanation:

Step 1: Convert to math

7x - 5 = 3

Step 2: Solve for <em>x</em>

  1. Add to both sides: 7x = 8
  2. Divide both sides by 7: x = 8/7
6 0
3 years ago
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